5109350400 has 960 divisors, whose sum is σ = 23598891360. Its totient is φ = 1061683200.

The previous prime is 5109350371. The next prime is 5109350443. The reversal of 5109350400 is 40539015.

It is a Jordan-Polya number, since it can be written as 11! ⋅ (2!)⁷.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5109350400² = 52210923019960320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464486395 + ... + 464486405.

Almost surely, 2^5109350400 is an apocalyptic number.

5109350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799445680).

5109350400 is an abundant number, since it is smaller than the sum of its proper divisors (18489540960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5109350400 is an equidigital number, since it uses as much as digits as its factorization.

5109350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5109350400 is about 71479.7202009073. The cubic root of 5109350400 is about 1722.3519294301.

Adding to 5109350400 its reverse (40539015), we get a palindrome (5149889415).

The spelling of 5109350400 in words is "five billion, one hundred nine million, three hundred fifty thousand, four hundred".